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In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [ a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...
Online Etymology Dictionary. The Online Etymology Dictionary or Etymonline, sometimes abbreviated as OED (not to be confused with the Oxford English Dictionary, which the site often cites), is a free online dictionary that describes the origins of English words, written and compiled by Douglas R. Harper. [ 1]
A diagram representing a two-state Markov chain. The states are represented by 'A' and 'E'. The numbers are the probability of flipping the state. Discrete mathematics, broadly speaking, is the study of individual, countable mathematical objects. An example is the set of all integers. [52]
Etymological dictionaries are the product of research in historical linguistics. For many words in any language, the etymology will be uncertain, disputed, or simply unknown. In such cases, depending on the space available, an etymological dictionary will present various suggestions and perhaps make a judgement on their likelihood, and provide ...
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
The tree of life ( Hebrew: עֵץ חַיִּים, romanized : ʿēṣ ḥayyim or no: אִילָן, romanized : ʾilān, lit. 'tree') is a diagram used in Rabbinical Judaism in kabbalah and other mystical traditions derived from it. [ 1] It is usually referred to as the "kabbalistic tree of life" to distinguish it from the tree of life that ...
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